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3649114640 = 245371232809
BaseRepresentation
bin1101100110000001…
…0001001000010000
3100102022110020020002
43121200101020100
524433133132030
61402033105132
7156266651123
oct33140211020
910368406202
103649114640
111602914926
1285a0b81a8
13462018542
142688d63ba
15165564245
hexd9811210

3649114640 has 40 divisors (see below), whose sum is σ = 8713501080. Its totient is φ = 1420194816.

The previous prime is 3649114627. The next prime is 3649114663. The reversal of 3649114640 is 464119463.

It can be written as a sum of positive squares in 4 ways, for example, as 847741456 + 2801373184 = 29116^2 + 52928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 3649114594 and 3649114603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613445 + ... + 619364.

It is an arithmetic number, because the mean of its divisors is an integer number (217837527).

Almost surely, 23649114640 is an apocalyptic number.

It is an amenable number.

3649114640 is an abundant number, since it is smaller than the sum of its proper divisors (5064386440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3649114640 is a wasteful number, since it uses less digits than its factorization.

3649114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232859 (or 1232853 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 3649114640 is about 60407.9021320886. The cubic root of 3649114640 is about 1539.5572235806.

The spelling of 3649114640 in words is "three billion, six hundred forty-nine million, one hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 1232809 2465618 4931236 6164045 9862472 12328090 19724944 24656180 45613933 49312360 91227866 98624720 182455732 228069665 364911464 456139330 729822928 912278660 1824557320 3649114640